Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\) (Q1907374)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\) |
scientific article; zbMATH DE number 846454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\) |
scientific article; zbMATH DE number 846454 |
Statements
Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\) (English)
0 references
21 February 1996
0 references
The authors prove three theorems in connection with the topic given in the title of the paper. The first one gives the exact value of the \(n\)- width of the class \(W^r (D)\) of functions \(f(x, y)\) that are defined on the whole plane and have generalized partial derivatives from the class \(L_2\) such that \(|D^r f|\leq 1\). In the following two theorems they characterize the \(n\)-width of certain subclasses of \(W^r (D)\).
0 references
\(n\)-width
0 references
0.93282616
0 references
0.9266466
0 references
0.9066638
0 references
0.9035479
0 references
